Answer:
D (2, 5)
Step-by-step explanation:
To find the vertex of the quadratic function , we will follow the steps below
(x,y) = [-b/2a , f(-b/2a)]
x = -b /2a y = f(-b/2a)
The standard equation of a quadratic equation is y =ax² + bx + c
compare the above with the equation given, y = 3x² - 12x + 17
a = 3 b= -12 and c= 17
x = -b/2a
x = -(-12)/2(3)
x = 12/6
x = 2
y = f(-b/2a)
y = f (-b/2a) = f(x) = f (2)
y = f(x) =3x² - 12x + 17
To find f(2) simply mean to substitute x = 2 into the quadratic function above. That is;
f(2) = 3(2)² - 12(2) + 17
f(2) =12-24 + 17
f(2) =5
x = 2 and y = 5
(x,y) = (2, 5)
